Complete boundedness of multiple operator integrals

• Published in: Canadian mathematical bulletin Vol. 64; no. 2; pp. 474 - 490
• Main Author: Coine, Clément
• Format: Journal Article
• Language: English
• Published: Canada Canadian Mathematical Society 01.06.2021; Cambridge University Press
• Subjects: Integrals; Mapping; Operators (mathematics); Tensors; 47B49; operator integrals; multiplier; Complete boundedness; 46L07

In this paper, we characterize the multiple operator integrals mappings that are bounded on the Haagerup tensor product of spaces of compact operators. We show that such maps are automatically completely bounded and prove that this is equivalent to a certain factorization property of the symbol asso...